Download App

Derivative as a Rate Measurer — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsDerivative as a Rate Measurer2 Marks
Question
Find an angle $\theta$
Whose rate of increase twice is twice the rate of decrease of its cosine.
✓

Answer

$\frac{\text{d}\theta}{\text{dt}}=-2\frac{\text{d}}{\text{dt}}(\cos\theta)$
$\frac{\text{d}\theta}{\text{dt}}=-2(-\sin\theta)\frac{\text{d}\theta}{\text{dt}}$
$1=2\sin\theta$
$\sin\theta=\frac{1}{2}$
$\theta=\frac{\pi}{6}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Solve the Following Question.(2 Marks)" from Derivative as a Rate Measurer→Derivative as a Rate Measurer — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

If $\text{f(x)}=\log_\text{e}(\log_\text{e}\text{x}),$ then write the value of f'(e).
→
In each of the following examples verify that the given function is a solution of the differential equation.

$x^2=2 y^2 \log y, x^2+y^2=x y \frac{d x}{d y}$

→
Without using truth table prove that : ~[(p ∨ ~q) → (p ∧ ~q)] ≡ (p ∨ ~q) ∧ (~p ∨ q)
→
Write a value of $\int\sin^3\text{x}\cos\text{x dx}$
→
Find the components along the coordinate axis of the position vector of the following point:
P(3, 2)
→
Differentiate the following w. r. t. x.$y=\cot ^2\left(x^3\right)$
→
Solve graphically : x ≤ 0 and y ≥ 0
→
Form the differential equation from the following primitives where constants are arbitrart:$\text{y}^2=4\text{ax}$
→
Draw the graph of inequalities $x ≤ 6, y −2 ≤ 0, x ≥ 0, y ≥ 0$ and indicate the feasible region
→
If A is a square matrix of order $3$ such that $|A| = 2$, then write the value of adj (adj A).
→